A Two-Step Method for Damage Identification and Quantification in Large Trusses via Wavelet Transform and Optimization Algorithm

Document Type : Regular Paper

Authors

1 School of Civil Engineering, Iran University of Science and Technology, Tehran, Iran

2 Center of Excellence for Fundamental Studies in Structural Engineering, School of Civil Engineering, Iran University of Science and Technology, P.O. Box 16765-163, Tehran, Iran

3 Center of Excellence for Fundamental Studies in Structural Engineering, School of Civil Engineering, Iran University of Science & Technology

Abstract

This paper suggests a two-step approach for damage prognosis in long trusses in which the first step deals with locating probable damages by wavelet transform (WT) and static deflection derived from modal data with the intention of declining the subsequent inverse problem variables. And in the second step, optimization based model updating method applying Artificial Bee Colony (ABC) algorithm will be employed to quantify the predicted damages within an inverse problem. Interestingly, it is indicated that the two-step method greatly aids in declining the number of variables of the model updating process resulting in more precise results and far less computational effort. Moreover, the method is found considerably effective especially for damage prognosis of large trusses. In this regard, two numerical examples including noisy data are contemplated to assess the efficacy of the method for real practical problems. Furthermore, the validity of the second step results is investigated applying other optimizers namely Invasive Weed Optimization (IWO) and Particle Swarm Optimization (PSO).

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References

[1] Yan, Y. J., Cheng, L., Wu, Z. Y., Yam, L. H. (2007). Development in vibration-based structural damage detection technique. Mechanical Systems and Signal Processing, 21(5), 2198-2211.
[2] Fan, W., Qiao, P. (2011). Vibration-based damage identification methods: a review and comparative study. Structural Health Monitoring, 10(1), 83-111.
[3] Liew, K. M., Wang, Q. (1998). Application of wavelet theory for crack identification in structures. Journal of engineering mechanics, 124(2), 152-157.
[4] Li, B., Chen, X. (2014). Wavelet-based numerical analysis: a review and classification. Finite Elements in Analysis and Design, 81, 14-31.
[5] Altammar, H., Dhingra, A., Kaul, S. (2014). Use of Wavelets for Mixed-mode Damage Diagnostics in Warren Truss Structures. In ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference (pp. V008T11A001-V008T11A001). American Society of Mechanical Engineers.
[6] Bagheri, A., Ghodrati Amiri, G., Khorasani, M., Bakhshi, H. (2011). Structural damage identification of plates based on modal data using 2D discrete wavelet transform. Structural Engineering and Mechanics, 40(1), 13-28.
[7] Yan, G., Duan, Z., Ou, J., De Stefano, A. (2010). Structural damage detection using residual forces based on wavelet transform. Mechanical Systems and Signal Processing, 24(1), 224-239.
[8] Ghodrati Amiri, G., Jalalinia, M., Zare Hosseinzadeh, A., Nasrollahi, A. (2015). Multiple crack identification in Euler beams by means of B-spline wavelet. Archive of Applied Mechanics, 85(4), 503-515.
[9] Yang, C., Oyadiji, S. O. (2017). Damage detection using modal frequency curve and squared residual wavelet coefficients-based damage indicator. Mechanical Systems and Signal Processing, 83, 385-405.
[10] Abbasnia, R., Mirzaei, B., Yousefbeik, S. (2016). A two-step method composed of wavelet transform and model updating method for multiple damage diagnosis in beams. Journal of Vibroengineering, 18(3).
[11] Ravanfar, S. A., Razak, H. A., Ismail, Z., Hakim, S. J. S. (2015). A Hybrid Procedure for Structural Damage Identification in Beam-Like Structures Using Wavelet Analysis. Advances in Structural Engineering, 18(11), 1901-1913.
[12] Carden, E. P., Fanning, P. (2004). Vibration based condition monitoring: a review. Structural health monitoring, 3(4), 355-377.
[13] Marwala, T. (2010). Finite element model updating using computational intelligence techniques: applications to structural dynamics. Springer Science & Business Media.
[14] Hao, H., Xia, Y. (2002). Vibration-based damage detection of structures by genetic algorithm. Journal of computing in civil engineering, 16(3), 222-229.
[15] Kaveh, A., Maniat, M. (2014). Damage detection in skeletal structures based on charged system search optimization using incomplete modal data. International journal of civil engineering IUST, 12(2), 291-298.
[16] Tabrizian, Z., Ghodrati Amiri, G., Hossein Ali Beigy, M. (2014). Charged system search algorithm utilized for structural damage detection. Shock and Vibration, 2014.
[17] Kaveh, A., Maniat, M. (2015). Damage detection based on MCSS and PSO using modal data. Smart structures and systems, 15(5), 1253-70.
[18] Majumdar, A., Nanda, B., Maiti, D. K., Maity, D. (2014). Structural damage detection based on modal parameters using continuous ant colony optimization. Advances in Civil Engineering, 2014.
[19] Ding, Z. H., Huang, M., Lu, Z. R. (2016). Structural damage detection using artificial bee colony algorithm with hybrid search strategy. Swarm and Evolutionary Computation, 28, 1-13.
[20] Xu, H., Ding, Z., Lu, Z., (2015). Structural damage detection based on Chaotic Artificial Bee Colony algorithm, Structural Engineering and Mechanics 55: 1223-1239.
[21] Kaveh, A., Vaez, S. R. H., Hosseini, P., & Fallah, N. (2016). Detection of damage in truss structures using Simplified Dolphin Echolocation algorithm based on modal data. Smart Structures and Systems, 18(5), 983-1004.
[22] Ghodrati Amiri, G., Zare Hosseinzadeh, A., Jafarian Abyaneh, M. (2015). A New Two-Stage Method for Damage Identification in Linear-Shaped Structures Via Grey System Theory and Optimization Algorithm. Journal of Rehabilitation in Civil Engineering, 3(2), 45-58.
[23] Zhu, J. J., Li, H., Lu, Z. R., Liu, J. K. (2015). A Two-Step Approach for Structural Damage Localization and Quantification Using Static and Dynamic Response Data. Advances in Structural Engineering, 18(9), 1415-1425.
[24] Mallat, S., Hwang, W. L. (1992). Singularity detection and processing with wavelets. IEEE transactions on information theory, 38(2), 617-643.
[25] Mallat, S. (2008). A wavelet tour of signal processing: the sparse way. Burlington, MA Academic press.
26] Misiti, M., Misiti, Y., Oppenheim, G., (1996). Wavelet toolbox. The MathWorks Inc., Natick, MA.
[27] Montanari, L., Basu, B., Spagnoli, A., Broderick, B. M. (2015). A padding method to reduce edge effects for enhanced damage identification using wavelet analysis. Mechanical Systems and Signal Processing, 52, 264-277.
[28] Montanari, L., Spagnoli, A., Basu, B., & Broderick, B. (2015). On the effect of spatial sampling in damage detection of cracked beams by continuous wavelet transform. Journal of Sound and Vibration, 345, 233-249.
[29] Messina, A. (2008). Refinements of damage detection methods based on wavelet analysis of dynamical shapes. International Journal of Solids and Structures, 45(14), 4068-4097.
[30] Zare Hosseinzadeh, A., Ghodrati Amiri, G., & Koo, K. Y. (2016). Optimization-based method for structural damage localization and quantification by means of static displacements computed by flexibility matrix. Engineering Optimization, 48(4), 543-561.
[31] Karaboga, D. (2005). An idea based on honey bee swarm for numerical optimization (Vol. 200). Technical report-tr06, Erciyes university, engineering faculty, computer engineering department.
[32] Karaboga, D., & Akay, B. (2011). A modified artificial bee colony (ABC) algorithm for constrained optimization problems. Applied Soft Computing, 11(3), 3021-3031.
[33] Akay, B., & Karaboga, D. (2012). A modified artificial bee colony algorithm for real-parameter optimization. Information Sciences, 192, 120-142.
[34] Solís, M., Algaba, M., & Galvín, P. (2013). Continuous wavelet analysis of mode shapes differences for damage detection. Mechanical Systems and Signal Processing, 40(2), 645-666.
[35] Rucka, M., & Wilde, K. (2006). Crack identification using wavelets on experimental static deflection profiles. Engineering structures, 28(2), 279-288.
[36] Radzieński, M., Krawczuk, M., & Palacz, M. (2011). Improvement of damage detection methods based on experimental modal parameters. Mechanical Systems and Signal Processing, 25(6), 2169-2190.
[37] Kennedy, J., Eberhart, R.C., (1995). Particle swarm optimization, Proceedings of the IEEE international conference on neural networks, Piscataway, NJ1942-1948.
[38] Mehrabian, A. R., & Lucas, C. (2006). A novel numerical optimization algorithm inspired from weed colonization. Ecological informatics, 1(4), 355-366.

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  • Receive Date: 18 June 2017
  • Revise Date: 06 September 2017
  • Accept Date: 31 October 2017

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